Atkin-Lehner |
2+ 3- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
26226d |
Isogeny class |
Conductor |
26226 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
-43697212342272 = -1 · 214 · 310 · 312 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -2 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5013,285957] |
[a1,a2,a3,a4,a6] |
Generators |
[33:681:1] |
Generators of the group modulo torsion |
j |
19109114615375/59941306368 |
j-invariant |
L |
3.5516096419111 |
L(r)(E,1)/r! |
Ω |
0.45258033278237 |
Real period |
R |
1.9618669795462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8742i1 |
Quadratic twists by: -3 |